LS-coupling for configurations with equivalent electrons

[damaks]

List the values of the magnetic quantum numbers m_l1, m_l2
m_s1 and m_s2 for the two electrons in a np² configuration to show that fifteen degenarate states exists within the central field approximation.

m_l can take values -1,0,1 i believe.
m_s can take values -1/2 and 1/2.

how does this ad up to fifteen degenarate states?

 

[nrqed]

List the values of the magnetic quantum numbers m_l1, m_l2
m_s1 and m_s2 for the two electrons in a np² configuration to show that fifteen degenarate states exists within the central field approximation.

m_l can take values -1,0,1 i believe.
m_s can take values -1/2 and 1/2.

how does this ad up to fifteen degenarate states?

You are doing as if there was only a single electron.

You must combine the two l=1 states to get the total orbital angular momentum.
Then you must combine the two s=1/2 states to get the total spin.
Now, you must make sure that you include only states that are antisymmetric.

 

[damaks]

Thank you, With your help i solved it.

 

[Joqe]

Now, you must make sure that you include only states that are antisymmetric.

Why do you only take in acount for the antisymmetric states?

Can someone give an exampel on how a antisymmteric states looks like for, 2 electrons and 3 electrons?

Thank you, Joqe